TY - JOUR
T1 - Becoming Large, Becoming Infinite
T2 - The Anatomy of Thermal Physics and Phase Transitions in Finite Systems
AU - Lavis, David
AU - Kuehn, Reimer
AU - Frigg, Roman
PY - 2021/6/14
Y1 - 2021/6/14
N2 - This paper presents an in-depth analysis of the anatomy of both thermodynamicsand statistical mechanics, together with the relationships between their constituent parts. Based on this analysis, using the renormalization group and finite-size scaling, we give a definition of a large but finite system and argue that phase transitions are represented correctly, as incipient singularities in such systems.We describe the role of the thermodynamic limit. And we explore the implications of this picture of critical phenomena for the questions of reduction and emergence.
AB - This paper presents an in-depth analysis of the anatomy of both thermodynamicsand statistical mechanics, together with the relationships between their constituent parts. Based on this analysis, using the renormalization group and finite-size scaling, we give a definition of a large but finite system and argue that phase transitions are represented correctly, as incipient singularities in such systems.We describe the role of the thermodynamic limit. And we explore the implications of this picture of critical phenomena for the questions of reduction and emergence.
KW - scaling, renormalization, large systems, incipient singularities, reduction, emergence
M3 - Article
JO - FOUNDATIONS OF PHYSICS
JF - FOUNDATIONS OF PHYSICS
SN - 0015-9018
ER -